Question

if cosec square theta (1+cos theta)(1-cos theta)=mew value of mew

Answer 1

value. of. mew is. 1

Answer 2

Answer:

cosec²θ(1 + cosθ)(1 - cosθ) = 1

Step-by-step explanation:

In the question,

We have to calculate the value of the given term,

cosec²θ(1 + cosθ)(1 - cosθ)

Now,

We know that from the property,

(a + b)(a - b) = a² - b²

So, using the same here we can say,

cosec²θ(1 + cosθ)(1 - cosθ) = cosec²θ(1 - cos²θ)

Now,

We also know that,

sin²θ + cos²θ = 1

So,

sin²θ = (1 - cos²θ)

Now putting this in the equation, we get,

cosec²θ.sin²θ = 1

Therefore, the required value of the given equation is = 1, shown as,

cosec²θ(1 + cosθ)(1 - cosθ) = 1